To determine which choice is a term in the expression [tex]\(-3x - 7(x + 4)\)[/tex], let's closely analyze the expression part by part.
The expression can be expanded as follows:
[tex]\[
-3x - 7(x + 4)
\][/tex]
we can break this down into individual components. The term [tex]\(-3x\)[/tex] is already in its simplest form. Next, we need to distribute [tex]\( -7 \)[/tex] to each term inside the parentheses:
[tex]\[
-3x - 7x - 28
\][/tex]
Now, let's list the terms from the original and expanded expressions for clarity:
- From the original expression [tex]\(-3x - 7(x + 4)\)[/tex]:
- The first term is [tex]\(-3x\)[/tex].
- The second part, [tex]\(-7(x + 4)\)[/tex], can be further broken down using distribution.
- After distribution, we have:
- [tex]\(-3x\)[/tex] as a term.
- [tex]\(-7x\)[/tex] as another term.
- [tex]\(-28\)[/tex] as yet another term.
Therefore, from the original expression, the identifiable terms are:
- [tex]\(-3x\)[/tex]
- [tex]\(-7x\)[/tex]
- [tex]\(-28\)[/tex]
Given the choices:
A. [tex]\(x + 4\)[/tex] – This is not a single term; it's part of the expression inside parentheses.
B. [tex]\(-3\)[/tex] – This is just a coefficient, not an entire term.
C. [tex]\(-3x\)[/tex] – This is a complete term in the expression.
D. [tex]\(-7\)[/tex] – This by itself is not a complete term in the expression; it's a coefficient used in distribution.
Thus, the correct term that is part of the given expression is:
C. [tex]\(-3x\)[/tex]
